Multichannel quantum defect theory with a frame transformation for ultracold atom-molecule collisions in magnetic fields

Abstract

We extend the powerful formalism of multichannel quantum defect theory combined with a frame transformation to ultracold atom-molecule collisions in magnetic fields. By solving the coupled-channel equations with hyperfine and Zeeman interactions omitted at short range, the extended theory enables a drastically simplified description of the intricate quantum dynamics of ultracold molecular collisions in terms of a small number of short-range parameters. We apply the formalism to ultracold Mg + NH collisions in a magnetic field, achieving a 10${}^4$-fold reduction in computational effort.

References in corpus (41)

• Cold and Ultracold Molecules: Science, Technology, and Applications
• Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
• Manipulation of Molecules with Electromagnetic Fields
• Universal rate constants for reactive collisions of ultracold molecules
• Observation of magnetically tunable Feshbach resonances in ultracold ${}^{23}$Na${}^{40}$K+${}^{40}$K collisions
• MOLSCAT: a program for non-reactive quantum scattering calculations on atomic and molecular collisions
• Statistical Aspects of Ultracold Resonant Scattering
• Photo-induced two-body loss of ultracold molecules
• Sticky collisions of ultracold RbCs molecules
• Multichannel quantum-defect theory for slow atomic collisions
• Magnetic field effects in ultracold molecular collisions
• Production of ultracold NH molecules by sympathetic cooling with Mg
• Multichannel quantum-defect theory for ultracold atom-ion collisions
• Control of reactive collisions by quantum interference
• Probing photoinduced two-body loss of ultracold non-reactive bosonic ${}^{23}$Na${}^{87}$Rb and ${}^{23}$Na${}^{39}$K molecules
• Controlling a quantum gas of polar molecules in an optical lattice
• Ultracold Sticky Collisions: Theoretical and Experimental Status
• Analytic description of atomic interaction at ultracold temperatures: the case of a single channel
• A Feshbach resonance in collisions between ultracold ground state molecules
• Mechanism of Collisional Spin Relaxation in Triplet-Sigma Molecules
• Multichannel Quantum Defect Theory for cold molecular collisions
• Dipolar confinement-induced resonances of ultracold gases in waveguides
• Analytic description of atomic interaction at ultracold temperatures II: Scattering around a magnetic Feshbach resonance
• Magnetic Feshbach resonances in collisions of ${}^{23}$Na${}^{40}$K with ${}^{40}$K
• Prediction of Feshbach resonances from three input parameters
• Atom-molecule collisions, spin relaxation, and sympathetic cooling in an ultracold spin-polarized Rb(${}^2\mathrm{S}$)-SrF${(}^2{\Sigma }^{+})$ mixture
• Complete quantum coherent control of ultracold molecular collisions
• Cold atomic and molecular collisions: approaching the universal loss regime
• Efficient method for quantum calculations of molecule - molecule scattering properties in a magnetic field
• The effect of hyperfine interactions on ultracold molecular collisions: NH(^3Sigma^-) with Mg(^1S) in magnetic fields
• Universal probability distributions of scattering observables in ultracold molecular collisions
• Spectrum of Feshbach resonances in NaLi $+$ Na collisions
• Quantum Defect Theory for Cold Chemistry with Product Quantum State Resolution
• Optimized Multichannel Quantum Defect Theory for cold molecular collisions
• Coherent control of reactive scattering at low temperatures: Signatures of quantum interference in the differential cross sections for F + H2 and F + HD
• Signatures of Non-universal Quantum Dynamics of Ultracold Chemical Reactions of Polar Alkali-dimer Molecules with Alkali-metal Atoms: Li(${}^2$S) +NaLi($a^3{\Sigma }^{+}$) $\to$ Na(${}^2$S) + Li${}_2$($a^3{\Sigma }_u^{+}$)
• Multichannel quantum defect theory for ro-vibrational transitions in ultracold molecule-molecule collisions
• Full-dimensional quantum scattering calculations on ultracold atom-molecule collisions in magnetic fields: The role of molecular vibrations
• Quantum Defect Theory description of weakly bound levels and Feshbach resonances in LiRb
• Multichannel Quantum Defect Theory for cold molecular collisions with a strongly anisotropic potential energy surface
• Ultracold molecular collisions in magnetic fields: Efficient incorporation of hyperfine structure in the total rotational angular momentum representation

Cited by in corpus (2)

• Analytical solutions of the Schrödinger equation for two confined atoms with van der Waals interaction
• Universality and threshold laws for collision lifetimes at ultralow temperatures